(5x^2y-2xy^2+y^3)-(4x^2y-2xy^2)=

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Solution for (5x^2y-2xy^2+y^3)-(4x^2y-2xy^2)= equation:


Simplifying
(5x2y + -2xy2 + y3) + -1(4x2y + -2xy2) = 0

Reorder the terms:
(-2xy2 + 5x2y + y3) + -1(4x2y + -2xy2) = 0

Remove parenthesis around (-2xy2 + 5x2y + y3)
-2xy2 + 5x2y + y3 + -1(4x2y + -2xy2) = 0

Reorder the terms:
-2xy2 + 5x2y + y3 + -1(-2xy2 + 4x2y) = 0
-2xy2 + 5x2y + y3 + (-2xy2 * -1 + 4x2y * -1) = 0
-2xy2 + 5x2y + y3 + (2xy2 + -4x2y) = 0

Reorder the terms:
-2xy2 + 2xy2 + 5x2y + -4x2y + y3 = 0

Combine like terms: -2xy2 + 2xy2 = 0
0 + 5x2y + -4x2y + y3 = 0
5x2y + -4x2y + y3 = 0

Combine like terms: 5x2y + -4x2y = 1x2y
1x2y + y3 = 0

Solving
1x2y + y3 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1y3' to each side of the equation.
1x2y + y3 + -1y3 = 0 + -1y3

Combine like terms: y3 + -1y3 = 0
1x2y + 0 = 0 + -1y3
1x2y = 0 + -1y3
Remove the zero:
1x2y = -1y3

Divide each side by '1y'.
x2 = -1y2

Simplifying
x2 = -1y2

Combine like terms: -1y2 + y2 = 0
x2 + y2 = 0

The solution to this equation could not be determined.

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